Yasmine works as a server in a restaurant and earns different amounts in tips each night. Her mean earnings in tips over the course of 8 nights of work is $46. Following is a list of her tip earnings, with one missing

$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, _____

1 answer

To find the missing tip amount, we need to first calculate the total sum of Yasmine's tip earnings over the 8 nights of work.

Total sum of tip earnings = $35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 + x

Sum = $67.08 + x

We know that the mean earnings in tips over 8 nights is $46, so we can set up the following equation:

Mean earnings = Total sum of tip earnings / Number of nights
$46 = ($67.08 + x) / 8

Solving for x:

$46 * 8 = $67.08 + x
$368 = $67.08 + x
x = $368 - $67.08
x = $300.92

Therefore, the missing tip amount is $300.92.